As you can see the motherboard has 1 USB 1.0/2.0, and 8 USB 3.0 slots.

The case has 2 USB 3.0 ports, and 4 USB 2.0 ports.

My question: Since my motherboard has so many USB 3.0 slots, is there a simple way to make the USB 2.0 ports on the case USB 3.0 ports? I've never done anything like that before so please forgive my ignorance.

USB is backwards compatible, and the connections are identical. Just because the case supports USB 2.0 doesn't mean that 3.0 won't work. I've used cases here at work that are USB 2.0 supported, but work fine with 3.0 motherboards.